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Finding the Fourth Proportional to 427,776,009.60, 641,664,014.40 and 400,566,230.40

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Solution

The fourth proportional to 427,776,009.60, 641,664,014.40 and 400,566,230.40 is: 600,849,345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,776,009.60 : 641,664,014.40 = 400,566,230.40 : x
  2. Step 2: Convert to fraction form
    427,776,009.60/641,664,014.40 = 400,566,230.40/x
  3. Step 3: Cross multiply
    427,776,009.60x = 641,664,014.40 × 400,566,230.40
  4. Step 4: Simplify right side
    427,776,009.60x = 257,028,935,431,539,296
  5. Step 5: Solve for x
    x = 257,028,935,431,539,296/427,776,009.60
  6. Step 6: Final answer
    x = 600,849,345.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.